Chiral polyhedra in ordinary space, II

Details Chiral polyhedra in ordinary space, II Chiral polyhedra in ordinary space, II

2005-01-04

arxiv.org/abs/math/0501050v1

Mathematics

Metric Geometry

48 pages

Scientific paper

A chiral polyhedron has a geometric symmetry group with two orbits on the flags, such that adjacent flags are in distinct orbits. Part I of the paper described the discrete chiral polyhedra in ordinary Euclidean 3-space with finite skew faces and finite skew vertex-figures; they occur in infinite families and are of types {4,6}, {6,4} and {6,6}. Part II completes the enumeration of all discrete chiral polyhedra in 3-space. There exist several families of chiral polyhedra with infinite, helical faces. In particular, there are no discrete chiral polyhedra with finite faces in addition to those described in Part I.

Affiliated with

Also associated with

No associations

Rating

Chiral polyhedra in ordinary space, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chiral polyhedra in ordinary space, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral polyhedra in ordinary space, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529361